Free vibration of axially functionally graded Timoshenko beams with non-uniform cross-section
β Scribed by Yong Huang; Ling-E Yang; Qi-Zhi Luo
- Book ID
- 119220747
- Publisher
- Elsevier Science
- Year
- 2013
- Tongue
- English
- Weight
- 200 KB
- Volume
- 45
- Category
- Article
- ISSN
- 1359-8368
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Free vibration and stability analysis of axially functionally graded tapered Timoshenko beams are studied through a finite element approach. The exact shape functions for uniform homogeneous Timoshenko beam elements are used to formulate the proposed element. The accuracy of the present element is c
The problem of free transverse vibrations of Timoshenko beams with attachments like translational and rotational springs, concentrated mass including the moment of inertia, linear undamped oscillators and additional supports is considered. The frequency equation for the combined system is derived by
In this paper, an analytic solution for free and forced vibrations of stepped Timoshenko beams is presented and used for the approximate analysis of generally non-uniform Timoshenko beams. In the case of free vibrations, the frequency equation is expressed in terms of some initial parameters at one